Final answer:
The balanced equation for the reaction of iron oxide with carbon to produce iron and carbon dioxide is 2Fe2O3 + 3C → 4Fe + 3CO2.
Step-by-step explanation:
The balanced chemical equation for the reaction of iron oxide (Fe2O3) with carbon (C) to produce iron (Fe) and carbon dioxide (CO2) is represented by statement B) 2Fe2O3 + 3C → 4Fe + 3CO2. This reaction is a combination of both oxidation and reduction processes, where the iron oxide is reduced to iron and the carbon is oxidized to carbon dioxide. The balanced equation follows the stoichiometry that respects the conservation of mass, meaning that the number of atoms for each element on the reactant side is equal to the number of atoms of that element on the product side.